440 candies are to be distributed among 'N' number of students such that each student gets (N + 2) candies. Find the value of 'N' if all the candies are distributed.
Show answer & explanation
Correct answer: A
Explanation
Given:
Total candies = 440
Candies per student = (N + 2)
Formula:
Total candies = Number of students × Candies per student
440 = N(N + 2)
440 = N² + 2N
N² + 2N − 440 = 0
(N + 22)(N − 20) = 0
N = 20